Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
Im Buch
Ergebnisse 1-5 von 100
Seite 70
... Find the sum of the angles of a quadrilateral by drawing a diagonal . 132. Theorem XVII . The sum of the interior angles of a polygon of n sides is ( n - 2 ) straight angles . 65. What is the sum of the interior angles of a pentagon ? a ...
... Find the sum of the angles of a quadrilateral by drawing a diagonal . 132. Theorem XVII . The sum of the interior angles of a polygon of n sides is ( n - 2 ) straight angles . 65. What is the sum of the interior angles of a pentagon ? a ...
Seite 76
... Find the locus of points equidis- tant from two given points . Take any point equidistant from two given points , join the three points , and what kind of a triangle will be formed ? What will pass through the vertex ? Then what is the ...
... Find the locus of points equidis- tant from two given points . Take any point equidistant from two given points , join the three points , and what kind of a triangle will be formed ? What will pass through the vertex ? Then what is the ...
Seite 77
... Find the locus of points equi- distant from two intersecting lines . NOTE . Locus does not always mean equidistance , although it involves equidistance in the first few cases . 99. Find the locus of points equidistant from two parallel ...
... Find the locus of points equi- distant from two intersecting lines . NOTE . Locus does not always mean equidistance , although it involves equidistance in the first few cases . 99. Find the locus of points equidistant from two parallel ...
Seite 82
... Find out everything possible about the diagonals of a rhombus . 126. The perpendicular bisector of a side of a triangle intersects the greater of the other two sides , if the triangle is not isosceles . 127. In a right triangle , the ...
... Find out everything possible about the diagonals of a rhombus . 126. The perpendicular bisector of a side of a triangle intersects the greater of the other two sides , if the triangle is not isosceles . 127. In a right triangle , the ...
Seite 95
... find what lines must be con- structed in order to make the figure in such a way that it can be shown to be the required one . This is really working backwards from the completed figure in an attempt to find upon what it is based . Hav ...
... find what lines must be con- structed in order to make the figure in such a way that it can be shown to be the required one . This is really working backwards from the completed figure in an attempt to find upon what it is based . Hav ...
Andere Ausgaben - Alle anzeigen
Plane Geometry Developed by the Syllabus Method Eugene Randolph Smith Keine Leseprobe verfügbar - 2013 |
Häufige Begriffe und Wortgruppen
altitude angles are equal angles equal apothem axiom axis base bisects called central angles chord circular cylinder circumcenter circumference congruent Construct a triangle cube diagonal diameter dihedral angle distance divided draw drawn edge equal angles equilateral triangle equivalent exterior angle figure Find the area Find the locus Find the volume formula frustum given circle given line given point given sect hypotenuse intersecting lines isosceles triangle lateral area line parallel line perpendicular locus of points lune median meet method midpoints number of sides opposite sides pair parallel planes parallelepiped parallelogram perigon perimeter plane geometry points equidistant polyhedral angle polyhedron prism Prismatoid proof propositions prove pyramid quadrilateral radii rectangle regular inscribed regular polygon right angle right circular cone right triangle secant solid geometry spherical angle spherical polygon spherical triangle straight angle straight line surface tangent Theorem third side trapezoid triangle ABC unequal vertices
Beliebte Passagen
Seite 343 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Seite 329 - The sum of the sides of any spherical polygon is less than the circumference of a great circle.
Seite 297 - Every section of a circular cone made by a plane parallel to the base is a circle.
Seite 260 - The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane.
Seite 389 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Seite 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Seite 73 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Seite 212 - To prove the conclusion, it is necessary to use the additional geometrical principle that but one parallel to a given line can be drawn through a given point.
Seite 304 - The volume of a circular cone is equal to one third the product of its base by its altitude.
Seite 311 - The greatest right circular cylinder that can be inscribed in a right circular cone is one whose altitude is one third that of the cone.